论文标题
矩阵的正交图表上的矩阵
Orthogonality graphs of matrices over commutative rings
论文作者
论文摘要
该论文致力于在交换环上研究基质环的正交图。事实证明，在零局部的换向环上大小大于1的矩阵环的正交图已连接并具有直径3或4；获得每个值的标准。还表明，其每个顶点最多都有与某些标量矩阵的距离。
The paper is devoted to studying the orthogonality graph of the matrix ring over a commutative ring. It is proved that the orthogonality graph of the ring of matrices with size greater than 1 over a commutative ring with zero-divisors is connected and has diameter 3 or 4; a criterion for each value is obtained. It is also shown that each of its vertices has distance at most 2 from some scalar matrix.
